The polygons are similar, but not necessarily drawn to scale. Find the value of x.

Question

anonymous · Answer

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sirm3d · Answer

the ratio of corresponding sides of similar polygons is a constant.

Here, the corresponding sides are 20 and 39, and 5 and $x$

just form the ratios, equate them, solve for the unknown $x$

anonymous · Answer

how do i do that? sorry i suck at geometry.

tyteen4a03 · Answer

The equation for ratios in this case is $\frac{AD}{JM} = \frac{CD}{LM}$. Since you know that they are similar, it means that their side's ratios will be the same.

anonymous · Answer

these are the answer choices •	 9.75 
•	 11.8